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What is the Least Common Multiple of 26039 and 26059?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 26039 and 26059 is 678550301.

LCM(26039,26059) = 678550301

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Least Common Multiple of 26039 and 26059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26039 and 26059, than apply into the LCM equation.

GCF(26039,26059) = 1
LCM(26039,26059) = ( 26039 × 26059) / 1
LCM(26039,26059) = 678550301 / 1
LCM(26039,26059) = 678550301

Least Common Multiple (LCM) of 26039 and 26059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26039 and 26059. First we will calculate the prime factors of 26039 and 26059.

Prime Factorization of 26039

Prime factors of 26039 are 13, 2003. Prime factorization of 26039 in exponential form is:

26039 = 131 × 20031

Prime Factorization of 26059

Prime factors of 26059 are 11, 23, 103. Prime factorization of 26059 in exponential form is:

26059 = 111 × 231 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 26039 and 26059.

LCM(26039,26059) = 131 × 20031 × 111 × 231 × 1031
LCM(26039,26059) = 678550301